Search a number
-
+
909099990 = 2335173753101
BaseRepresentation
bin110110001011111…
…100001111010110
32100100122001202000
4312023330033112
53330212144430
6230113100130
731346136201
oct6613741726
92310561660
10909099990
11427188307
12214557646
131164616b6
1488a48938
1554c27e60
hex362fc3d6

909099990 has 256 divisors, whose sum is σ = 2712579840. Its totient is φ = 215654400.

The previous prime is 909099977. The next prime is 909100013. The reversal of 909099990 is 99990909.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9000940 + ... + 9001040.

It is an arithmetic number, because the mean of its divisors is an integer number (10596015).

Almost surely, 2909099990 is an apocalyptic number.

909099990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 909099990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356289920).

909099990 is an abundant number, since it is smaller than the sum of its proper divisors (1803479850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

909099990 is a wasteful number, since it uses less digits than its factorization.

909099990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 909099990 is about 30151.2850472414. The cubic root of 909099990 is about 968.7325316864.

The spelling of 909099990 in words is "nine hundred nine million, ninety-nine thousand, nine hundred ninety".